Superdrug has a range of entirely vegan and buav approved makep called B. Barry M has lots of vegan stuff, check their website for whats vegan. Sleek has some vegan stuff, again check their website. MUA have some vegan stuff too but you'll have to go by ingredients list on the products as their customer services are beyond useless.

Came to post everything that Baps said! Lavera makeup is also sold in Wholefoods, some independent HFS and I thiiiiink I've seen it in larger Holland and Barretts?! I just bought a Superdrug B 'radiant' foundation and really like it, I was using Lavera before. Their primer and eyeshadows are also really nice. The gel eyeliner is rubbish though! Lush also sell amazing makeup, albeit at quite a premium price.